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Finding the Third Proportional to 214.75 and 312.13

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Solution

The third proportional to 214.75 and 312.13 is: 453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 312.13 = 312.13 : x
  2. Step 2: Convert to fraction form
    214.75/312.13 = 312.13/x
  3. Step 3: Cross multiply
    214.75x = 312.13 × 312.13
  4. Step 4: Simplify right side
    214.75x = 97,422.02
  5. Step 5: Solve for x
    x = 97,422.02/214.75
  6. Step 6: Final answer
    x = 453.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.